Price Pfister Old Shower Tub Set

Hello,
this is a long shot but thought I would put it out there. We are not original owners of this house(FYI).
We would like to replace this set and add a shower head and matching sink faucet as well.

I don't think you'll find an exact replacement for the tub/shower (exact in form, not looks). This has to do with the federal guidelines requiring anti-scald technology in a shower. What's there now is almost certainly not in compliance with those guidelines. You are required to bring it up to code if you replace, but not to repair what's there already. Since you essentially want to replace it, that's what triggers the update to current codes. There are a number of choices for the vanity in that configuration for that sink. You may want to look at those first, then see about the shower. Unless they left some spare tiles, you may be looking at tearing up more than you want in there. Do you have access from behind that wall (maybe in a closet)?

I thank you. And yes, you are probably spot on. Like I mentioned, a long shot. lol We do have access. There is the master closet.
And to make matters worse, the tiles are small, 3 1/4"...so trying to add a shower and not make it looked rigged is a big challenge.

Thanks...

PS: I was thinking we could get rid of the hand held and just patch the hole but then it would look really funky.

It is "antique bronze", which is obsolete these days for most manufacturers. Until you know the make and model, there is no way to suggest a source of replacement parts, assuming they are even available.

The plumbers here can often identify the manufacturer of old fixtures, but they usually need to see the "insides". A photo of the hot or cold side with the handle and decorative flange removed might be enough to give them a clue. Removal and photo of the stem assembly itself would be even better but requires the water to be shut off, and might not be a good idea if you're not somewhat "handy".